Pith Number

pith:SS3W7JS3

pith:2012:SS3W7JS3NXDMWDL3QUR5BVV6ZY

not attested not anchored not stored refs pending

Crossing changes and circular Heegaard splittings

Alexander Coward

arxiv:1210.5812 v1 · 2012-10-22 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SS3W7JS3NXDMWDL3QUR5BVV6ZY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:42:35.076176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94b76fa65b6dc6cb0d7b8523d0d6bece1d45b8b4e5025fa1e215d1ee7ee1ad02

Aliases

arxiv: 1210.5812 · arxiv_version: 1210.5812v1 · doi: 10.48550/arxiv.1210.5812 · pith_short_12: SS3W7JS3NXDM · pith_short_16: SS3W7JS3NXDMWDL3 · pith_short_8: SS3W7JS3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SS3W7JS3NXDMWDL3QUR5BVV6ZY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 94b76fa65b6dc6cb0d7b8523d0d6bece1d45b8b4e5025fa1e215d1ee7ee1ad02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2be6afe8bb36307a828f24f35bdb3bd223fde28d4b381d5d5dbfd4d56a624130",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-22T06:19:44Z",
    "title_canon_sha256": "8a880aea0e2552c53bd55fd7f1b9907605f333b19fa835cff17e3efebf0eee51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5812",
    "kind": "arxiv",
    "version": 1
  }
}